Hamilton circuits of Cayley graphs of Weyl groupoids of generalized quantum groups

2021/03/30 by Hiroyuki Yamane, Yamane, Hiroyuki · 1 citation
Mathematics · Physics and Astronomy · #05C45 #17B05 #17B37 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.2103.16126

openalex publication_date 2021/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study Hamilton circuits of the Cayley graphs of the Weyl groupoids of the generalized quantum groups, or the quantum double of the Nichols algebras of diagonal-type, with finite root systems. We prove the existence of a Hamilton circuit for any of them and explicitly draw one of them for rank 3 and 4 cases.

Cited by

• Hamiltonian Cycles in Simplicial and Supersolvable Hyperplane Arrangements

Related

• Cayley graphs of order 27p are hamiltonian
• Hamiltonicity of the Cayley Digraph on the Symmetric Group Generated by σ = (1 2 ... n) and τ = (1 2)
• Cayley graphs of order 6pq are Hamiltonian
• Hamiltonian Cycles for Finite Weyl Groupoids
• Cayley graphs of order 30p are hamiltonian